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Read the following writeup carefully: A, B, C are the points representing the complex numbers z_1, z_2 and z_3 respectively (such that no-two are equal)on the complex place and |z_1| =|z_2|=|z_3| Now answer the following question The focus of a point Q (z) which touches the circumcircle of Delta ABC and the line z+ bar(z) -2 =0 (given that |z_1| = |z_2| = |z_3|=1 ) is

Answer»

`(z - bar(z))= 4(z + bar(z) )^2`
`(z - bar(z))^2 + 4 (z + bar(z))=0`
ARG `(z) = 2n pi , n in I`
Arg `(z-1)= 2 n pi, n in I`

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